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Finding the Fourth Proportional to 149,999.64, 206,991.90 and 82,918.68

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Solution

The fourth proportional to 149,999.64, 206,991.90 and 82,918.68 is: 114,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,999.64 : 206,991.90 = 82,918.68 : x
  2. Step 2: Convert to fraction form
    149,999.64/206,991.90 = 82,918.68/x
  3. Step 3: Cross multiply
    149,999.64x = 206,991.90 × 82,918.68
  4. Step 4: Simplify right side
    149,999.64x = 17,163,495,118.69
  5. Step 5: Solve for x
    x = 17,163,495,118.69/149,999.64
  6. Step 6: Final answer
    x = 114,423.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.